3. It is found that a 10-cm cube of aluminum (SG = 2.71) will remain neutral under water %3D (neither rise nor fall) if it is tied by a string to a submerged 18-cm-diameter sphere of buoyant foam. What is the specific weight of the foam, in N/m3 ?

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Chapter2: Loads On Structures
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Can you answer this in complete solution please im a slow learner i need every detail to understand the problem? thank you in advance

3. It is found that a 10-cm cube
of aluminum (SG = 2.71) will
remain neutral under water
(neither rise nor fall) if it is
tied
by a string to a submerged
18-cm-diameter sphere of
buoyant foam. What is the
specific weight of the foam, in
N/m3
?
4. A solid block, of specific
gravity 0.9, floats such that
75% of its volume is in water
and 25% of its volume is in
fluid X,
which is layered above the
water. What is the specific
gravity of fluid X?
5. A piece of yellow pine wood
(SG = 0.65) is 5 cm square and
2.2 m long. How many
newtons of lead (SG = 11.4)
%3D
should
be attached to one end of the
wood so that it will float
vertically with 30 cm out of the
water?
Transcribed Image Text:3. It is found that a 10-cm cube of aluminum (SG = 2.71) will remain neutral under water (neither rise nor fall) if it is tied by a string to a submerged 18-cm-diameter sphere of buoyant foam. What is the specific weight of the foam, in N/m3 ? 4. A solid block, of specific gravity 0.9, floats such that 75% of its volume is in water and 25% of its volume is in fluid X, which is layered above the water. What is the specific gravity of fluid X? 5. A piece of yellow pine wood (SG = 0.65) is 5 cm square and 2.2 m long. How many newtons of lead (SG = 11.4) %3D should be attached to one end of the wood so that it will float vertically with 30 cm out of the water?
1. A spar buoy is a buoyant rod
weighted to float and protrude
vertically, as in shown in the
figure. It can be used for
measurements or markers.
Suppose that the buoy is maple
wood (SG = 0.6), 2 in. by 2. in
by 12 ft, floating in seawater
(SG
: 1.025). How many pounds of
steel (SG = 7.85) should be
added to the bottom end so
%3D
%3D
%3D
that h = 18 in.?
2. It is said that Archimedes
discovered the buoyancy laws
when asked by King Hiero of
Syracuse to determine
whether
his new crown was pure gold
(SG = 19.3). Archimedes
measured the weight of the
crown in air to be 11.8 N and
its weight
in water to be 10.9 N. Was it a
pure gold?
Transcribed Image Text:1. A spar buoy is a buoyant rod weighted to float and protrude vertically, as in shown in the figure. It can be used for measurements or markers. Suppose that the buoy is maple wood (SG = 0.6), 2 in. by 2. in by 12 ft, floating in seawater (SG : 1.025). How many pounds of steel (SG = 7.85) should be added to the bottom end so %3D %3D %3D that h = 18 in.? 2. It is said that Archimedes discovered the buoyancy laws when asked by King Hiero of Syracuse to determine whether his new crown was pure gold (SG = 19.3). Archimedes measured the weight of the crown in air to be 11.8 N and its weight in water to be 10.9 N. Was it a pure gold?
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